TSTP Solution File: DAT069_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : DAT069_1 : TPTP v8.1.2. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 05:05:55 EDT 2024
% Result : Theorem 0.15s 0.40s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 17
% Syntax : Number of formulae : 32 ( 9 unt; 11 typ; 0 def)
% Number of atoms : 35 ( 20 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 30 ( 16 ~; 7 |; 4 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 59 ( 14 atm; 11 fun; 9 num; 25 var)
% Number of types : 3 ( 1 usr; 1 ari)
% Number of type conns : 9 ( 6 >; 3 *; 0 +; 0 <<)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 34 ( 28 !; 6 ?; 34 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
heap: $tType ).
tff(func_def_0,type,
empty: heap ).
tff(func_def_1,type,
toop: heap > $int ).
tff(func_def_2,type,
sel: ( heap * $int ) > $int ).
tff(func_def_3,type,
length: heap > $int ).
tff(func_def_4,type,
app: ( heap * $int ) > heap ).
tff(func_def_5,type,
get: heap > heap ).
tff(func_def_10,type,
sK0: $int ).
tff(func_def_11,type,
sK1: heap ).
tff(func_def_12,type,
sK2: $int ).
tff(pred_def_1,type,
lsls: ( heap * heap ) > $o ).
tff(f857,plain,
$false,
inference(subsumption_resolution,[],[f853,f54]) ).
tff(f54,plain,
~ $less(length(sK1),sK2),
inference(cnf_transformation,[],[f48]) ).
tff(f48,plain,
( ~ $less(length(sK1),sK2)
& ( sel(app(sK1,sK0),sK2) != sel(sK1,sK2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f42,f47]) ).
tff(f47,plain,
( ? [X0: $int,X1: heap,X2: $int] :
( ~ $less(length(X1),X2)
& ( sel(app(X1,X0),X2) != sel(X1,X2) ) )
=> ( ~ $less(length(sK1),sK2)
& ( sel(app(sK1,sK0),sK2) != sel(sK1,sK2) ) ) ),
introduced(choice_axiom,[]) ).
tff(f42,plain,
? [X0: $int,X1: heap,X2: $int] :
( ~ $less(length(X1),X2)
& ( sel(app(X1,X0),X2) != sel(X1,X2) ) ),
inference(ennf_transformation,[],[f29]) ).
tff(f29,plain,
~ ! [X0: $int,X1: heap,X2: $int] :
( $less(length(X1),X2)
| ( sel(app(X1,X0),X2) = sel(X1,X2) ) ),
inference(rectify,[],[f16]) ).
tff(f16,negated_conjecture,
~ ! [X2: $int,X1: heap,X0: $int] :
( $less(length(X1),X0)
| ( sel(app(X1,X2),X0) = sel(X1,X0) ) ),
inference(negated_conjecture,[],[f15]) ).
tff(f15,conjecture,
! [X2: $int,X1: heap,X0: $int] :
( $less(length(X1),X0)
| ( sel(app(X1,X2),X0) = sel(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',th_4) ).
tff(f853,plain,
$less(length(sK1),sK2),
inference(superposition,[],[f94,f848]) ).
tff(f848,plain,
sK2 = $sum(1,length(sK1)),
inference(trivial_inequality_removal,[],[f846]) ).
tff(f846,plain,
( ( sel(sK1,sK2) != sel(sK1,sK2) )
| ( sK2 = $sum(1,length(sK1)) ) ),
inference(superposition,[],[f53,f64]) ).
tff(f64,plain,
! [X2: $int,X0: $int,X1: heap] :
( ( sel(app(X1,X0),X2) = sel(X1,X2) )
| ( $sum(1,length(X1)) = X2 ) ),
inference(cnf_transformation,[],[f43]) ).
tff(f43,plain,
! [X0: $int,X1: heap,X2: $int] :
( ( sel(app(X1,X0),X2) = sel(X1,X2) )
| ( $sum(1,length(X1)) = X2 ) ),
inference(ennf_transformation,[],[f37]) ).
tff(f37,plain,
! [X0: $int,X1: heap,X2: $int] :
( ( $sum(1,length(X1)) != X2 )
=> ( sel(app(X1,X0),X2) = sel(X1,X2) ) ),
inference(rectify,[],[f3]) ).
tff(f3,axiom,
! [X2: $int,X1: heap,X0: $int] :
( ( $sum(1,length(X1)) != X0 )
=> ( sel(app(X1,X2),X0) = sel(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_3) ).
tff(f53,plain,
sel(app(sK1,sK0),sK2) != sel(sK1,sK2),
inference(cnf_transformation,[],[f48]) ).
tff(f94,plain,
! [X0: $int] : $less(X0,$sum(1,X0)),
inference(superposition,[],[f89,f17]) ).
tff(f17,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f89,plain,
! [X0: $int] : $less(X0,$sum(X0,1)),
inference(resolution,[],[f26,f22]) ).
tff(f22,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_142,[]) ).
tff(f26,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_147,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : DAT069_1 : TPTP v8.1.2. Released v5.5.0.
% 0.14/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n007.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 12:48:05 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (17722)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (17725)WARNING: value z3 for option sas not known
% 0.15/0.38 % (17724)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (17723)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (17725)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (17726)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (17727)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.38 % (17728)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.38 % (17729)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.38 % (17724)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38 % (17723)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38 % (17723)Terminated due to inappropriate strategy.
% 0.15/0.38 % (17723)------------------------------
% 0.15/0.38 % (17723)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (17724)Terminated due to inappropriate strategy.
% 0.15/0.38 % (17724)------------------------------
% 0.15/0.38 % (17724)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (17724)Termination reason: Inappropriate
% 0.15/0.38
% 0.15/0.38 % (17724)Memory used [KB]: 750
% 0.15/0.38 % (17724)Time elapsed: 0.003 s
% 0.15/0.38 % (17724)Instructions burned: 3 (million)
% 0.15/0.38 % (17723)Termination reason: Inappropriate
% 0.15/0.38
% 0.15/0.38 % (17723)Memory used [KB]: 749
% 0.15/0.38 % (17723)Time elapsed: 0.003 s
% 0.15/0.38 % (17723)Instructions burned: 3 (million)
% 0.15/0.38 % (17726)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38 % (17726)Terminated due to inappropriate strategy.
% 0.15/0.38 % (17726)------------------------------
% 0.15/0.38 % (17726)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (17726)Termination reason: Inappropriate
% 0.15/0.38 % (17724)------------------------------
% 0.15/0.38 % (17724)------------------------------
% 0.15/0.38
% 0.15/0.38 % (17726)Memory used [KB]: 749
% 0.15/0.38 % (17726)Time elapsed: 0.003 s
% 0.15/0.38 % (17726)Instructions burned: 3 (million)
% 0.15/0.38 % (17723)------------------------------
% 0.15/0.38 % (17723)------------------------------
% 0.15/0.38 % (17726)------------------------------
% 0.15/0.38 % (17726)------------------------------
% 0.15/0.39 % (17730)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.15/0.39 % (17731)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 0.15/0.39 % (17732)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 0.15/0.40 % (17730)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.40 % (17730)Terminated due to inappropriate strategy.
% 0.15/0.40 % (17730)------------------------------
% 0.15/0.40 % (17730)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.40 % (17730)Termination reason: Inappropriate
% 0.15/0.40
% 0.15/0.40 % (17730)Memory used [KB]: 749
% 0.15/0.40 % (17730)Time elapsed: 0.002 s
% 0.15/0.40 % (17730)Instructions burned: 3 (million)
% 0.15/0.40 % (17730)------------------------------
% 0.15/0.40 % (17730)------------------------------
% 0.15/0.40 % (17725)First to succeed.
% 0.15/0.40 % (17725)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-17722"
% 0.15/0.40 % (17725)Refutation found. Thanks to Tanya!
% 0.15/0.40 % SZS status Theorem for theBenchmark
% 0.15/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.40 % (17725)------------------------------
% 0.15/0.40 % (17725)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.40 % (17725)Termination reason: Refutation
% 0.15/0.40
% 0.15/0.40 % (17725)Memory used [KB]: 1056
% 0.15/0.40 % (17725)Time elapsed: 0.022 s
% 0.15/0.40 % (17725)Instructions burned: 31 (million)
% 0.15/0.40 % (17722)Success in time 0.025 s
%------------------------------------------------------------------------------